••• Using the method of Problem 1, estimate the lifetime of a classical He+ ion starting in the n = 1 Bohr orbit for He. Compare with the answer for hydrogen.
Problem 1
• The Hamiltonian operator is often described as a linear operator because it has the linear property thai H[Aψ(x) + Bϕ(x)] = AHψ(x) + BHϕ(x) for any two functions ψ(x) and ϕ(x) and any two constant numbers A and B. Prove that the one-dimensional Hamiltonian (11.11) is linear.
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